非线性分析研讨班：Ground state solution for Kirchhoff problem with doubly critical terms

中科院数学与系统科学研究院

数学研究所

非线性分析研讨班

报告人：冯晓晶 副教授（山西大学）

题  目：Ground state solution for Kirchhoff problem with doubly critical terms  

时  间：2021.03.15（星期一），14:00-15:00

地  点：数学院南楼N902室

摘  要：In this talk, we consider the existence of the ground state solution for a class of Kirchhoff problem with both Hardy-Littlewood-Sobolev critical exponent and Sobolev critical exponent via the concentration-compactness principle and the method of Pohoˇzaev manifold. The character of this work is that we don’t assume the classical Ambrosetti-Rabinowitz condition on nonlinearity term and show that the least energy level of the functional constrained on the Pohozaev manifold is below the non-compactness level. In addition, we introduces the problems to be solved in the future and some difficulties to be overcome.